The critical Casimir force in the superfluid phase: effect of fluctuations

Physics

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We have considered the critical Casimir force on a 4He film below and above the bulk λ point. We have explored the role of fluctuations around the mean field theory in a perturbative manner, and have substantially improved the mean field result of Zandi et al (2007 Phys. Rev. E 76 030601(R)). The Casimir scaling function obtained by us approaches a universal constant (-{\zeta(3)}/{8\pi} ) for Tlsim2.13 K.

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